SHELL MODEL CALCULATIONS OF ALPHA DECAY RATES OF EVEN-EVEN SPHEROIDAL NUCLEI

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Kgl. Danske Videnskab. Selskab, Mat.-fys. Skrifter

OSTI ID:4783744

Mang, H J; Rasmussen, J O

The formulation of the alpha decay rate theory based on the independent- particle shell model wave functions ls extended to apply to spheroidally deformed nuclei. This method essentially projects out of the shell model wave function of the most light1y bound neutrons and protons a finite-sized gaussian, singlet-spin alpha-particle internal wave function, resulting in a wave function in the centerof-mass coordinate of the alpha cluster. This wave function serves to fix the boundary condition on the nuclear surface for the irregular type Coulomb wave solution through the anisotropic barrier. The independent-particle formulation is generalized to include correlation effects arising from the pairing interaction. Numerical calculations of relative alpha intensities to rotational states of several even nuclei of elements 92 to 100 are carried out using numerlcal wave functions. The theoretical results nicely show the essential features of the relative intensity patterns, although the theoretical intensity of the decay to the first excited 2+ state is too high. The absolute transition probability calculated for Cm/sup 242/ is about a factor of 60 too low assuming a particular optical model potential for the barrier, but the factor is extremely sensitive to this latter assumption. The essential role of the configuration mixing induced by the pairing force in smoothing the decay rate changes from nucleus to nucleus, and in giving a large enhancement of the absolute rate, is pointed out in the discussion. (auth)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-16-032417
• OSTI ID: 4783744
• Journal Information: Kgl. Danske Videnskab. Selskab, Mat.-fys. Skrifter, Journal Name: Kgl. Danske Videnskab. Selskab, Mat.-fys. Skrifter Vol. Vol: 2: No. 3
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ACTINIDES
ALPHA DECAY
CURIUM 242
DEFORMATION
ENERGY LEVELS
NUCLEAR MODELS
NUCLEI
NUMERICALS
PHYSICS
PROBABILITY
QUANTUM MECHANICS
ROTATION
SHELL MODELS
SPHERES
STATISTICS
TRANSITIONS